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Sigma
Sigma (; uppercase Σ, lowercase σ, lowercase in word-final position ς; grc-gre, σίγμα) is the eighteenth letter of the Greek alphabet. In the system of Greek numerals, it has a value of 200. In general mathematics, uppercase Σ is used as an operator for summation. When used at the end of a letter-case word (one that does not use all caps), the final form (ς) is used. In ' (Odysseus), for example, the two lowercase sigmas (σ) in the center of the name are distinct from the word-final sigma (ς) at the end. The Latin letter S derives from sigma while the Cyrillic letter Es derives from a lunate form of this letter. History The shape (Σς) and alphabetic position of sigma is derived from the Phoenician letter ( ''shin''). Sigma's original name may have been ''san'', but due to the complicated early history of the Greek epichoric alphabets, ''san'' came to be identified as a separate letter in the Greek alphabet, represented as Ϻ. Herodotus reports that "sa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Archaic Greek Alphabets
Many local variants of the Greek alphabet were employed in ancient Greece during the archaic and early classical periods, until around 400 BC, when they were replaced by the classical 24-letter alphabet that is the standard today. All forms of the Greek alphabet were originally based on the shared inventory of the 22 symbols of the Phoenician alphabet, with the exception of the letter Samekh, whose Greek counterpart Xi () was used only in a sub-group of Greek alphabets, and with the common addition of Upsilon () for the vowel . The local, so-called ''epichoric'', alphabets differed in many ways: in the use of the consonant symbols , and ; in the use of the innovative long vowel letters ( and ), in the absence or presence of Η in its original consonant function (); in the use or non-use of certain archaic letters ( = , = , = ); and in many details of the individual shapes of each letter. The system now familiar as the standard 24-letter Greek alphabet was originally ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
San (letter)
San (Ϻ) was an archaic letter of the Greek alphabet. Its shape was similar to modern M or Mu, or to a modern Greek Sigma (Σ) turned sideways, and it was used as an alternative to Sigma to denote the sound . Unlike Sigma, whose position in the alphabet is between Rho and Tau, San appeared between Pi and Qoppa in alphabetic order. In addition to denoting this separate archaic character, the name San was also used as an alternative name to denote the standard letter Sigma. Historical use Sigma and san The existence of the two competing letters Sigma and San is traditionally believed to have been due to confusion during the adoption of the Greek alphabet from the Phoenician script, because Phoenician had more sibilant sounds than Greek had. According to one theory, the distribution of the sibilant letters in Greek is due to pair-wise confusion between the sounds and alphabet positions of the four Phoenician sibilant signs: Greek Sigma got its shape and alphabetic position ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Alphabet
The Greek alphabet has been used to write the Greek language since the late 9th or early 8th century BCE. It is derived from the earlier Phoenician alphabet, and was the earliest known alphabetic script to have distinct letters for vowels as well as consonants. In Archaic and early Classical times, the Greek alphabet existed in many local variants, but, by the end of the 4th century BCE, the Euclidean alphabet, with 24 letters, ordered from alpha to omega, had become standard and it is this version that is still used for Greek writing today. The uppercase and lowercase forms of the 24 letters are: : , , , , , , , , , , , , , , , , , /ς, , , , , , . The Greek alphabet is the ancestor of the Latin and Cyrillic scripts. Like Latin and Cyrillic, Greek originally had only a single form of each letter; it developed the letter case distinction between uppercase and lowercase in parallel with Latin during the modern era. Sound values and conventional transcriptions for some ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Es (Cyrillic)
Es (С с; italics: ) is a letter of the Cyrillic script. It commonly represents the voiceless alveolar fricative , like the pronunciation of in "sand". History The Cyrillic letter Es is derived from a variant of the Greek letter Sigma known as '' lunate sigma'' (Ϲ ϲ), in use in the Greek-speaking world in early medieval times. It has no connection to the Latin letter C (C c), which is a descendant of the Greek letter Gamma (Γ γ); however, many languages (for different reasons) apply the value of to the Latin letter C, especially before front vowels ''e'' and ''i'' (examples being English, French, Mexican Spanish); see hard and soft C In the Latin-based orthographies of many European languages, including English, a distinction between hard and soft occurs in which represents two distinct phonemes. The sound of a hard often precedes the non-front vowels , and , and is that .... As its name suggests, Es is related to the Latin S. The na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Greek Numerals
Greek numerals, also known as Ionic, Ionian, Milesian, or Alexandrian numerals, are a system of writing numbers using the letters of the Greek alphabet. In modern Greece, they are still used for ordinal numbers and in contexts similar to those in which Roman numerals are still used in the Western world. For ordinary cardinal numbers, however, modern Greece uses Arabic numerals. History The Minoan and Mycenaean civilizations' Linear A and Linear B alphabets used a different system, called Aegean numerals, which included number-only symbols for powers of ten: = 1, = 10, = 100, = 1000, and = 10000. Attic numerals comprised another system that came into use perhaps in the 7th century BCE. They were acrophonic, derived (after the initial one) from the first letters of the names of the numbers represented. They ran = 1, = 5, = 10, = 100, = 1,000, and =&n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Shin (letter)
Shin (also spelled Šin (') or Sheen) is the twenty-first letter of the Semitic abjads, including Phoenician Shin , Hebrew Shin , Aramaic Shin , Syriac Shin ܫ, and Arabic Shin (in abjadi order, 13th in modern order). Its sound value is a voiceless sibilant, or . The Phoenician letter gave rise to the Greek Sigma () (which in turn gave Latin and Cyrillic С), and the letter '' Sha'' in the Glagolitic and Cyrillic scripts (, ). The South Arabian and Ethiopian letter '' Śawt'' is also cognate. Origins The Proto-Sinaitic glyph, according to William Albright, was based on a "tooth" and with the phonemic value š "corresponds etymologically (in part, at least) to original Semitic ''ṯ'' (th), which was pronounced ''s'' in South Canaanite". The Phoenician letter expressed the continuants of two Proto-Semitic phonemes, and may have been based on a pictogram of a tooth (in modern Hebrew ''shen''). The Encyclopaedia Judaica, 1972, records that it originally repres ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Summation
In mathematics, summation is the addition of a sequence of any kind of numbers, called ''addends'' or ''summands''; the result is their ''sum'' or ''total''. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined. Summations of infinite sequences are called series. They involve the concept of limit, and are not considered in this article. The summation of an explicit sequence is denoted as a succession of additions. For example, summation of is denoted , and results in 9, that is, . Because addition is associative and commutative, there is no need of parentheses, and the result is the same irrespective of the order of the summands. Summation of a sequence of only one element results in this element itself. Summation of an empty sequence (a sequence with no elements), by convention, results in 0. Very often, the elem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uppercase
Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing systems that distinguish between the upper and lowercase have two parallel sets of letters, with each letter in one set usually having an equivalent in the other set. The two case variants are alternative representations of the same letter: they have the same name and pronunciation and are treated identically when sorting in alphabetical order. Letter case is generally applied in a mixed-case fashion, with both upper and lowercase letters appearing in a given piece of text for legibility. The choice of case is often prescribed by the grammar of a language or by the conventions of a particular discipline. In orthography, the uppercase is primarily reserved for special purposes, such as the first letter of a sentence or of a proper noun (ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lowercase
Letter case is the distinction between the letters that are in larger uppercase or capitals (or more formally ''majuscule'') and smaller lowercase (or more formally ''minuscule'') in the written representation of certain languages. The writing systems that distinguish between the upper and lowercase have two parallel sets of letters, with each letter in one set usually having an equivalent in the other set. The two case variants are alternative representations of the same letter: they have the same name and pronunciation and are treated identically when sorting in alphabetical order. Letter case is generally applied in a mixed-case fashion, with both upper and lowercase letters appearing in a given piece of text for legibility. The choice of case is often prescribed by the grammar of a language or by the conventions of a particular discipline. In orthography, the uppercase is primarily reserved for special purposes, such as the first letter of a sentence or of a proper noun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phoenician Alphabet
The Phoenician alphabet is an alphabet (more specifically, an abjad) known in modern times from the Canaanite and Aramaic inscriptions found across the Mediterranean region. The name comes from the Phoenician civilization. The Phoenician alphabet is also called the Early Linear script (in a Semitic context, not connected to Minoan writing systems), because it is an early development of the Proto- or Old Canaanite or Proto-Sinaitic script, into a linear, purely alphabetic script, also marking the transfer from a multi-directional writing system, where a variety of writing directions occurred, to a regulated horizontal, right-to-left script. Its immediate predecessor, the Proto-Canaanite, Old Canaanite or Proto-Sinaitic script, used in the final stages of the Late Bronze Age, first in either Egypt or Canaan and then in the Syro-Hittite kingdoms, is the oldest fully matured alphabet, and it was derived from Egyptian hieroglyphs. The Phoenician alphabet was used to write ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Xi (letter)
Xi is the 14th letter of the Greek alphabet (uppercase Ξ, lowercase ξ; el, ξι), representing the voiceless consonant cluster . It is pronounced in Modern Greek, and generally or in English. In the system of Greek numerals, it has a value of 60. Xi was derived from the Phoenician letter samekh . Xi is distinct from the letter chi, which gave its form to the Latin letter X. Greek Both in classical Ancient Greek and in Modern Greek, the letter Ξ represents the consonant cluster /ks/. In some archaic local variants of the Greek alphabet, this letter was missing. Instead, especially in the dialects of most of the Greek mainland and Euboea, the cluster /ks/ was represented by Χ (which in classical Greek is chi, used for ). Because this variant of the Greek alphabet was used in Magna Graecia (the Greek colonies in Sicily and the southern part of the Italian peninsula), the Latin alphabet borrowed Χ rather than Ξ as the Latin letter that represented the /ks/ cluster ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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